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Finding the Fourth Proportional to 8,159.16, 12,242.79 and 3,779.70

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Solution

The fourth proportional to 8,159.16, 12,242.79 and 3,779.70 is: 5,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.16 : 12,242.79 = 3,779.70 : x
  2. Step 2: Convert to fraction form
    8,159.16/12,242.79 = 3,779.70/x
  3. Step 3: Cross multiply
    8,159.16x = 12,242.79 × 3,779.70
  4. Step 4: Simplify right side
    8,159.16x = 46,274,073.36
  5. Step 5: Solve for x
    x = 46,274,073.36/8,159.16
  6. Step 6: Final answer
    x = 5,671.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.